arXiv Analytics

Sign in

arXiv:2004.09343 [math.AG]AbstractReferencesReviewsResources

Compatibility of weak approximation for zero-cycles on products of varieties

Yongqi Liang

Published 2020-04-20Version 1

Zero-cycles are conjectured to satisfy weak approximation with Brauer-Manin obstruction for proper smooth varieties defined over number fields. Roughly speaking, we prove that the conjecture is compatible for products of rationally connected varieties, K3 surfaces, Kummer varieties, and one curve.

Comments: This is the first version, comments are welcome
Categories: math.AG, math.NT
Subjects: 14G12
Related articles: Most relevant | Search more
arXiv:2201.01178 [math.AG] (Published 2022-01-04, updated 2022-06-10)
Applications of the fibration method for zero-cycles to the Brauer-Manin obstruction to the existence of zero-cycles on certain varieties
arXiv:1906.08536 [math.AG] (Published 2019-06-20)
Zero-cycles with modulus and relative $K$-theory
arXiv:1810.00808 [math.AG] (Published 2018-10-01)
Algebraic varieties are homeomorphic to varieties defined over number fields

Links

Toolbox